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Finding the Fourth Proportional to 185,349.66, 277,809.39 and 85,299.78

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Solution

The fourth proportional to 185,349.66, 277,809.39 and 85,299.78 is: 127,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,349.66 : 277,809.39 = 85,299.78 : x
  2. Step 2: Convert to fraction form
    185,349.66/277,809.39 = 85,299.78/x
  3. Step 3: Cross multiply
    185,349.66x = 277,809.39 × 85,299.78
  4. Step 4: Simplify right side
    185,349.66x = 23,697,079,848.93
  5. Step 5: Solve for x
    x = 23,697,079,848.93/185,349.66
  6. Step 6: Final answer
    x = 127,850.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.